We can use his angular speed, 1 revolution per hour, and convert its units to radians per minute. Then, we can multiply by 22.5 minutes to get his central angle in radians, and use the circle definitions of sine and cosine to get his coordinates on the circle of radius 14.
1 rev / 1 hr · 2π rads / 1 rev · 1 hr / 60 minutes = π/30 rads / minute
π/30 rads / minute · 22.5 minutes = 3π / 4 rads (in other words he has rotated 3/4 of the way around the top half of the circle, 3/8 of the way around the entire circle. He is 1/2way through Q II. (Since the question does not specify, we will assume he is rotating counterclockwise, though the question should really make this explicit; it is ambiguous in this regard.)
We recall the coordinate plane (circular) definitions of sine and cosine: for Θ in standard position, and (x,y) the coordinates of a point on a circle of radius r centered on the origin, sinΘ = y/r and cosΘ = x/r.
Thus, x = rcosΘ and y = rsinΘ and George's location is (14cos(3π/4) , 14sin(3π/4)) = (-7√2 , 7√2).
